PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method

被引：0
|
作者：
Yongjun Xu
机构：
[1] Chinese Academy of Sciences,Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics
来源：
Acta Mechanica Solida Sinica | 2020年 / 33卷
关键词：
PIMOL; ODE; FDMOL; PIM; Poisson’s equation; Semi-analytical; Semi-discrete;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to introduce a new semi-analytical method, namely PIMOL (precise integration method of lines, the parametric finite difference method of lines based on the precise integration method), which is developed and used to solve the ordinary differential equation (ODEs) systems based on the finite difference method of lines and the precise integration method (PIM). Two examples of Poisson’s equation problems are given: a boundary value problem and an ODE eigenvalue problem. The PIMOL can effectively reduce a semi-discrete ODE problem to a linear algebraic matrix equation. Numerical results show that the PIMOL is a powerful method.
引用
收藏
页码：381 / 391
页数：10
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